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22101120020 = 2257819119273
BaseRepresentation
bin10100100101010101…
…000101010000010100
32010001021011020001202
4110211111011100110
5330230341320040
614053023412032
71411454264150
oct244525052024
963037136052
1022101120020
119411562651
124349754018
132112a98515
1410d9384060
15895455015
hex525545414

22101120020 has 48 divisors (see below), whose sum is σ = 53051916288. Its totient is φ = 7576208640.

The previous prime is 22101120001. The next prime is 22101120031. The reversal of 22101120020 is 2002110122.

It is a happy number.

It is a super-2 number, since 2×221011200202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22101119983 and 22101120010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1137104 + ... + 1156376.

It is an arithmetic number, because the mean of its divisors is an integer number (1105248256).

Almost surely, 222101120020 is an apocalyptic number.

22101120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101120020 is an abundant number, since it is smaller than the sum of its proper divisors (30950796268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22101120020 is a wasteful number, since it uses less digits than its factorization.

22101120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27480 (or 27478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22101120020 its reverse (2002110122), we get a palindrome (24103230142).

The spelling of 22101120020 in words is "twenty-two billion, one hundred one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 8191 16382 19273 32764 38546 40955 57337 77092 81910 96365 114674 134911 163820 192730 229348 269822 286685 385460 539644 573370 674555 1146740 1349110 2698220 157865143 315730286 631460572 789325715 1105056001 1578651430 2210112002 3157302860 4420224004 5525280005 11050560010 22101120020